4.84 A company has 5 representatives covering large territories and 10 representatives covering smaller territories.

The probability distributions for the numbers of orders received by each of these types of representatives in a day are shown in the accompanying table.

Assuming that the number of orders received by any representative is independent of the number received by any other, find the mean and standard deviation of the total number of orders received by the company in a day.

Numbers of Orders (Large Territories)

Probability Numbers of Orders

(Smaller Territories)

Probability 0 0.08 0 0.18 1 0.16 1 0.26 2 0.28 2 0.36 3 0.32 3 0.13 4 0.10 4 0.07 5 0.06